Geodesic
Blow-up results for systems of nonlinear Klein-Gordon equations with arbitrary positive initial energy
Electronic journal of differential equations, Tome 2012 (2012)
The initial boundary value problem for a system of nonlinear Klein-Gordon equations in a bounded domain is considered. We prove the existence of local solutions by using a successive approximation method. Then, we show blow-up results with arbitrary positive initial energy by a concavity method. Also estimates for the lifespan of solutions are given.
Classification : 35L05, 35L15, 35L70
Keywords: blow-up, life span, damping, nonlinear wave equations, Klein-Gordon equation 
@article{EJDE_2012__2012__a52,
     author = {Wu,  Shun-Tang},
     title = {Blow-up results for systems of nonlinear {Klein-Gordon} equations with arbitrary positive initial energy},
     journal = {Electronic journal of differential equations},
     year = {2012},
     volume = {2012},
     zbl = {1254.35032},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/EJDE_2012__2012__a52/}
}
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AU  - Wu,  Shun-Tang
TI  - Blow-up results for systems of nonlinear Klein-Gordon equations with arbitrary positive initial energy
JO  - Electronic journal of differential equations
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VL  - 2012
UR  - http://geodesic.mathdoc.fr/item/EJDE_2012__2012__a52/
LA  - en
ID  - EJDE_2012__2012__a52
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%0 Journal Article
%A Wu,  Shun-Tang
%T Blow-up results for systems of nonlinear Klein-Gordon equations with arbitrary positive initial energy
%J Electronic journal of differential equations
%D 2012
%V 2012
%U http://geodesic.mathdoc.fr/item/EJDE_2012__2012__a52/
%G en
%F EJDE_2012__2012__a52
Wu,  Shun-Tang. Blow-up results for systems of nonlinear Klein-Gordon equations with arbitrary positive initial energy. Electronic journal of differential equations, Tome 2012 (2012). http://geodesic.mathdoc.fr/item/EJDE_2012__2012__a52/